Learning Objectives
• To determine the number of possible orderings of an arbitrary number of objects following certain procedures.
• To learn a SET game for developing logical thinking .
• To investigate the role of map colouring in representing and modelling of mathematical ideas.
• To observe the Fibonacci pattern in physical and biological phenomena.
• To choose the best method in finding the HCF of numbers.
• To understand how information can be processed in, encryption and decryption.
• To consider alternatives in shopping before making a purchase, calculate the unit price for each items and make purchase in limited budget.
• To understand how to pack things eﬃciently in a given space and find the optimal solution.

__Chapter
7__

__INFORMATION
PROCESSING__

** **

**Learning Objectives**

• To determine
the number of possible orderings of an arbitrary number of objects following certain
procedures.

• To learn
a SET game for developing logical thinking .

• To investigate
the role of map colouring in representing and modelling of mathematical ideas.

• To observe
the Fibonacci pattern in physical and biological phenomena.

• To choose
the best method in finding the HCF of numbers.

• To understand
how information can be processed in, encryption and decryption.

• To consider
alternatives in shopping before making a purchase, calculate the unit price for
each items and make purchase in limited budget.

• To understand
how to pack things eﬃciently
in a given space and find the optimal solution.

** **

**Recap**

Before to
learn, we recall the concepts like listing, counting, pattern of Fibonacci series
and calculate the unit price of the products by answering the following questions

**1. Find the number of all
possible triangles that can be formed from the triangle given below.**

**Answer:**

Single Triangles ⇒ 5

Combination of 2 ⇒ 4

Combination of 3 ⇒ 2

Big triangle ⇒ 1

Total : __12 __

**Ans: 12**

**2. Use the numbers
given in the figure to form a 3 x 3 magic square.**

**Answer:**

**3. Convert the tree diagram
into a numeric expression.**

**Answer: **(10 × 5) + 9 × 4)

**4. (i) Find the total time
taken by the bus to reach from A to E via B , C and D.**

**(ii) Find which is the
shortest route from A to E.**

**Solution:**

**(i)** Route ⇒ A → B → C → D → E

Time taken ⇒ (7 + 5 + 3 + 6) hrs = 21 hrs

**(ii) Available routes : Time taken**

**(a) A → B → C → D →
E : **7 + 5 + 3 +
6 hrs = 21 hrs

**(b) A → B → D → E :** 7 + 4 + 6 = 17 hrs

**(c) A → B → C →
E : **7 + 5 + 8 =
20 hrs

Shortest route ⇒ A → B → D → E

**5. Connect the Fibonacci
squares through diagonals by curve from corner to corner across each square to draw
a Golden Spiral.**

**Solution:**

**6. When you plan to buy
a shirt, one shop offers a discount of ****₹****200 on MRP ****₹****1000 and another shop offers 15% discount on the same MRP. Where
would you buy?**

**Solution:**

Price in I^{st} shop = ₹ 1000 − ₹ 200 = ₹ 800

Price in II^{nd} shop = [85/100] × 1000 = ₹ 850

In shop I.

**7. Amazing park is offers
a package deal of 5 entrance passes for ****₹****130. If one entrance pass
normally costs ****₹****30, how much will you save
by taking advantage of this special deal?**

**Solution:**

Cost of one entrance pass = ₹ 30

∴ Cost of 5 entrance passes = 5 × 30

= ₹ 150

But special deal price = ₹
130

Amount of saving = 150 − 130
= ₹ 20

** **

**Introduction**

Success in
Mathematics depends on the development of the number sense, logical thinking and
cognitive skills. In this class, we find practical solutions for day to day life
situations like selection procedures from various forms, colour the given map with
minimum number of colours. We are also going to see Fibonacci number pattern in
physical and biological phenomena and also discuss some cipher for the higher order
thinking which is to do well in the competitive exams. We will also discuss how
will you be a wise consumer while shopping and packing. Meanwhile we will play a
game to support your mind blooming activities. All the above discussions are very
helpful to you, to explore other chapters and improve your interest in Mathematics.

**MATHEMATICS ALIVE - INFORMATION
PROCESSING IN REAL LIFE**

Tags : Chapter 7 | 8th Maths , 8th Maths : Chapter 7 : Information Processing

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8th Maths : Chapter 7 : Information Processing : Information Processing | Chapter 7 | 8th Maths

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